منابع مشابه
A Simple Proof of Parsons' Theorem
Let IΣ1 be the fragment of elementary Peano Arithmetic in which induction is restricted to Σ1-formulas. More than three decades ago, Charles Parsons showed that the provably total functions of IΣ1 are exactly the primitive recursive functions. In this paper, we observe that Parsons’ result is a consequence of Herbrand’s theorem concerning the ∃∀∃-consequences of universal theories. We give a se...
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ژورنال
عنوان ژورنال: Notre Dame Journal of Formal Logic
سال: 2005
ISSN: 0029-4527
DOI: 10.1305/ndjfl/1107220675